A body of mass 5kg is to be given an acceleration of 20m/s2.calculate the force required when acceleration is vertically upwards (g=10m/s2)
Full answer
To calculate the force required to give a body an acceleration of 20 m/s^2 vertically upwards, we need to consider the forces acting on the body.
1. Force due to gravity (weight):
The weight of the body is given by the formula:
Weight = mass * gravitational acceleration
Given that the mass is 5 kg and gravitational acceleration is 10 m/s^2, we can calculate the weight as:
Weight = 5 kg * 10 m/s^2 = 50 N
2. Force required to produce the desired acceleration:
Since the body is being accelerated vertically upwards, we need to consider the net force acting on it.
The net force is given by Newton's second law of motion:
Net force = mass * acceleration
Given that the mass is 5 kg and the desired acceleration is 20 m/s^2, we can calculate the net force as:
Net force = 5 kg * 20 m/s^2 = 100 N
However, since the body is being accelerated upwards, we need to subtract the force due to gravity from the net force:
Force required = Net force - Weight
Force required = 100 N - 50 N = 50 N
Therefore, the force required to give the body an acceleration of 20 m/s^2 vertically upwards is 50 N.
To calculate the force required to give a body of mass 5kg an acceleration of 20m/s^2 when it is vertically upwards (against the force of gravity), you need to consider two forces: the force due to gravity and the force required to produce the desired acceleration.
1. Calculate the force due to gravity:
The force due to gravity acting on the body can be calculated using the formula:
Force due to gravity = mass * acceleration due to gravity (g).
In this case, the mass is 5kg and the acceleration due to gravity is 10m/s^2.
So, the force due to gravity is:
Force due to gravity = 5kg * 10m/s^2 = 50N.
2. Calculate the force required to produce the desired acceleration:
The force required to produce the desired acceleration can be calculated using Newton's second law of motion:
Force = mass * acceleration.
In this case, the mass is 5kg and the desired acceleration is 20m/s^2.
So, the force required is:
Force = 5kg * 20m/s^2 = 100N.
3. Calculate the net force:
Since the body is moving vertically upwards, against the force of gravity, the net force acting on it is the difference between the force required and the force due to gravity:
Net force = Force required - Force due to gravity.
Net force = 100N - 50N = 50N.
Therefore, the force required to give a body of mass 5kg an acceleration of 20m/s^2 when it is vertically upwards is 50N.
the desired acceleration is twice the gravitational acceleration, in an upward direction
so the required force is 3 g's
f = m a = 5 * 30 = 150 N