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?

Data:

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?

Data:

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?

Data:

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