SHC Mechanics Test 1

1. How many metres in one kilometre?

100

10

1000

10,000

There are 1000 meters in one kilometer. This is a standard conversion in the metric system, where the prefix "kilo-" represents a factor of 1000. Therefore, when converting from kilometers to meters, you multiply the value by 1000.

Explanation

There are 1000 meters in one kilometer. This is a standard conversion in the metric system, where the prefix "kilo-" represents a factor of 1000. Therefore, when converting from kilometers to meters, you multiply the value by 1000.

2. The slope of a distance time graph gives us _______________ of an object.

Speed

Acceleration

Distance

Displacement

The slope of a distance-time graph represents the change in distance over time. In other words, it shows how fast an object is moving. Therefore, the correct answer is speed.

Explanation

The slope of a distance-time graph represents the change in distance over time. In other words, it shows how fast an object is moving. Therefore, the correct answer is speed.

3. A mass of 3 kg is initially at rest. It accelerates at a rate of 4ms^-2. Calculate its speed after 5 seconds of acceleration.

10

15

18

20

22

The speed of an object can be calculated using the formula v = u + at, where v is the final velocity, u is the initial velocity (which is 0 in this case since the object is initially at rest), a is the acceleration, and t is the time. Plugging in the given values, v = 0 + (4 m/s^2)(5 s) = 20 m/s. Therefore, the speed of the object after 5 seconds of acceleration is 20 m/s.

Explanation

The speed of an object can be calculated using the formula v = u + at, where v is the final velocity, u is the initial velocity (which is 0 in this case since the object is initially at rest), a is the acceleration, and t is the time. Plugging in the given values, v = 0 + (4 m/s^2)(5 s) = 20 m/s. Therefore, the speed of the object after 5 seconds of acceleration is 20 m/s.

4. What is the acceleration due to gravity (in ms^-2)?

The acceleration due to gravity is a constant value that represents the rate at which objects fall towards the Earth. In this case, the given answer includes two options: 10 and 9.8. The correct answer is 9.8, as it is the standard value for the acceleration due to gravity on Earth, usually rounded to 9.8 m/s^2. The option 10 is incorrect as it does not accurately represent the value of the acceleration due to gravity.

Explanation

The acceleration due to gravity is a constant value that represents the rate at which objects fall towards the Earth. In this case, the given answer includes two options: 10 and 9.8. The correct answer is 9.8, as it is the standard value for the acceleration due to gravity on Earth, usually rounded to 9.8 m/s^2. The option 10 is incorrect as it does not accurately represent the value of the acceleration due to gravity.

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5. A car travelling at 10ms^-1for 2 minutes covers a distance of _________________ metres.

The car is travelling at a constant speed of 10 m/s for 2 minutes. To find the distance covered, we need to multiply the speed by the time. Since 1 minute is equal to 60 seconds, the total time in seconds is 2 minutes x 60 seconds/minute = 120 seconds. Therefore, the distance covered is 10 m/s x 120 seconds = 1200 meters.

Explanation

The car is travelling at a constant speed of 10 m/s for 2 minutes. To find the distance covered, we need to multiply the speed by the time. Since 1 minute is equal to 60 seconds, the total time in seconds is 2 minutes x 60 seconds/minute = 120 seconds. Therefore, the distance covered is 10 m/s x 120 seconds = 1200 meters.

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6. The slope a speed - time graph gives us the _______________ of the object

Distance

Speed

Acceleration

Velocity

The slope of a speed-time graph gives us the rate at which the speed is changing over time, which is the definition of acceleration. Therefore, the correct answer is acceleration.

Explanation

The slope of a speed-time graph gives us the rate at which the speed is changing over time, which is the definition of acceleration. Therefore, the correct answer is acceleration.

7. What force(s) are acting on a ball as it is moves vertically up in the air?

Force of the throw and gravity

Gravity

Force of the throw and Air Resistance

Gravity and Air Resistance

As the ball moves vertically up in the air, two forces are acting on it. Gravity is pulling the ball downwards, trying to bring it back to the ground. At the same time, air resistance is acting on the ball, pushing against its motion and slowing it down. Therefore, the correct answer is gravity and air resistance.

Explanation

As the ball moves vertically up in the air, two forces are acting on it. Gravity is pulling the ball downwards, trying to bring it back to the ground. At the same time, air resistance is acting on the ball, pushing against its motion and slowing it down. Therefore, the correct answer is gravity and air resistance.

8. A mass of 2 kg is initially moving at a steady speed of 3 ms^-1. It then accelerates at a rate of 2ms^-2. Calculate its speed after accelerating for 4 seconds.

11

8

14

12

The initial speed of the mass is 3 m/s and it accelerates at a rate of 2 m/s^2 for 4 seconds. To calculate the final speed, we can use the formula: final speed = initial speed + (acceleration * time). Plugging in the values, we get: final speed = 3 + (2 * 4) = 3 + 8 = 11 m/s. Therefore, the correct answer is 11.

Explanation

The initial speed of the mass is 3 m/s and it accelerates at a rate of 2 m/s^2 for 4 seconds. To calculate the final speed, we can use the formula: final speed = initial speed + (acceleration * time). Plugging in the values, we get: final speed = 3 + (2 * 4) = 3 + 8 = 11 m/s. Therefore, the correct answer is 11.

9. What does the area underneath the curve of a speed - time graph represent?

Acceleration

Distance

Speed

Velocity

The area underneath the curve of a speed-time graph represents distance. This is because the area under the curve represents the displacement of an object over a given time interval. In the context of a speed-time graph, the area under the curve represents the distance traveled by the object during that time interval. Therefore, the correct answer is distance.

Explanation

The area underneath the curve of a speed-time graph represents distance. This is because the area under the curve represents the displacement of an object over a given time interval. In the context of a speed-time graph, the area under the curve represents the distance traveled by the object during that time interval. Therefore, the correct answer is distance.

10. A mass of 2 kg is initially moving at a steady speed of 3 ms^-1. It then accelerates at a rate of 2ms^-2. Calculate the distance it covers during the first 4 seconds of its acceleration

12

16

24

26

28

The distance covered during the first 4 seconds of acceleration can be calculated using the equation: distance = initial velocity * time + 0.5 * acceleration * time^2.

Given that the initial velocity is 3 m/s, the time is 4 seconds, and the acceleration is 2 m/s^2, we can substitute these values into the equation to find the distance.

distance = 3 * 4 + 0.5 * 2 * (4^2) = 12 + 0.5 * 2 * 16 = 12 + 16 = 28.

Therefore, the correct answer is 28.

Explanation

The distance covered during the first 4 seconds of acceleration can be calculated using the equation: distance = initial velocity * time + 0.5 * acceleration * time^2.

Given that the initial velocity is 3 m/s, the time is 4 seconds, and the acceleration is 2 m/s^2, we can substitute these values into the equation to find the distance.

distance = 3 * 4 + 0.5 * 2 * (4^2) = 12 + 0.5 * 2 * 16 = 12 + 16 = 28.

Therefore, the correct answer is 28.

Shc Mechanics Test 1