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?

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Respuesta :

Question 1:

Mass (m) = 32 kg
Acceleration (a) = 12 m/s²

Force = mass × acceleration 
Force = 32 × 12 = 384 N

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Question 2

Mass (m) = 4 kg
Force (F) = 20 N
Acceleration (a) = Force ÷ mass = 20 ÷ 4 = 5 m/s²

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Question 3

Speed (v) = 30 m/s
Time (t) = 3 seconds
Mass (m) = 1500 kg

Use the formula, v = u + at, to find the acceleration, where 'u' is the initial velocity.
30 = 0 + 3a
30 = 3a
a = 30 ÷ 3
a = 10 m/s²

Force = mass × acceleration
Force = 1500 × 10 = 15000 N
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Question 4

The force of gravity that acting on the 20kg suitcase is the weight
W = m × g, where g is the constant of gravity = 9.8 m/s²

W = 20 × 9.8 = 196 N

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Question 5

The moon gravity constant is 1.6 m/s²
Force of gravity is given by W = m × g = 7 × 1.6 = 11.2 N

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Question 6

The force of gravity is given by mass × earth constant gravity

The force of gravity = 100 N
The earth gravity constant  = 9.8 m/s²
The mass = 100 ÷ 9.8 = 10.2 kg

Based on the relationship between force, gravitational constant and mass:

  • Force = 384 N
  • Acceleration (a) = 5 m/s²
  • Force = 15000 N
  • Weight = 196 N
  • Weight, W = 11.2 N
  • Mass = 10.2 kg

What is force?

Force is a pull or effect which tends to cause a change in the state or motion of an object.

  • Force = mass × acceleration

1. Mass (m) = 32 kg

Acceleration (a) = 12 m/s² 

Force = 32 × 12

Force = 384 N

What is the value of acceleration?

Mass (m) = 4 kg

Force (F) = 20 N

Acceleration (a) = Force/mass

Acceleration (a) = 20 ÷ 4

Acceleration (a) = 5 m/s²

What is the value of force?

The acceleration of the body of the object is found using the formula below:

  • v = u + at

where

u is the initial velocity

final velocity (v) = 30 m/s

time (t) = 3 seconds

mass (m) = 1500 kg

30 = 0 + 3a

30 = 3a

a = 30/3

a = 10 m/s²

  • Force = mass × acceleration

Force = 1500 × 10

Force = 15000 N

What is the force of gravity on the object?

The force of gravity that acting on the 20kg suitcase is the weight

Weight, W = mass × g

where g is the acceleration due to gravity

g = 9.8 m/s²

W = 20 × 9.8

Weight = 196 N

What is the force of gravity on the moon?

The moon gravitational constant is 1.6 m/s²

Force of gravity is given by W = m × g

Weight, W = 7 × 1.6

Weight, W = 11.2 N

What is the mass on earth?

The force of gravity is given by formula below:

  • Force of gravity = mass × earth's gravitational constant
  • Mass = Force of gravity/earth's gravitational constant

The force of gravity = 100 N

The earth gravity constant = 9.8 m/s²

mass = 100 ÷ 9.8

Mass = 10.2 kg

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