What force (in newtons) is required to accelerate a body with a mass of 32 kilograms at a rate of 12 m/s2? If a body with a mass of 4 kg is moved by a force of 20 N, what is the rate of its acceleration? A car with a mass of 1,500 kg is traveling at a speed of 30 m/s. What force must be applied to stop the car in 3 seconds? If a suitcase has a mass of 20 kg, what is the force of gravity acting on it? On the moon, what would be the force of gravity acting on an object that has a mass of 7 kg? On earth, what is a child's mass if the force of gravity on the child's body is 100 N?

One by one.

1) What force (in newtons) is required to accelerate a body with a mass of 32 kilograms at a rate of 12 m/s2?

dа ta:

m = 32 kg

a = 12 m/s^2

Principle / formula: Secon Law of Newton, F = m*a

=> F = 32 kg * 12 m/s^2 = 384 N

2) If a body with a mass of 4 kg is moved by a force of 20 N, what is the rate of its acceleration?

dа ta:

m = 4 kg

F = 20 N

a = ?

Formula: F = m*a = > a = F/m = 20N / 4kg = 5 m/s^2

3) A car with a mass of 1,500 kg is traveling at a speed of 30 m/s. What force must be applied to stop the car in 3 seconds?

dа ta:

m = 1500 kg

Vo = 30 m/s

Vf = ?

t = 3 seconds

F = ?

Formulas:

F = m*a

a = [Vf - Vo]/t

=> a = [30m/s - 0] / 3 s = 30m/s / 3s = 10 m/s^2

=> F = 1500 kg * 10 m/s^2 = 15,000 N

4) If a suitcase has a mass of 20 kg, what is the force of gravity acting on it?

F = m * g = 20 kg * 9.8 m/s^2 = 196 N

5) On the moon, what would be the force of gravity acting on an object that has a mass of 7 kg?

Use g in the moon 1.625 m/s^2

F = m * g = 7 kg * 1.625 m/s^2 = 11.735 N

6) On earth, what is a child’s mass if the force of gravity on the child’s body is 100 N?

F = m * g = > m = F / g = 100N / 9.8 m/s^2 = 10.2 kg