A man has a mass of 77.0 kg and is accelerating upward in an elevator at 2.50 m/s2 What is the normal force on his feet in newtons?
77.0kg x2.50m/s^2 + 77.0kg x 9.80m/s^2 =
Answer: 947 N??
77(2.5 + 9.8) =947 yes
To calculate the normal force on the man's feet, we need to consider the net force acting on him.
The net force is equal to the mass of the man multiplied by his acceleration, and it is given by the equation:
Net force = mass * acceleration
Given that the mass of the man is 77.0 kg and the acceleration is 2.50 m/s^2, we can substitute these values into the equation:
Net force = 77.0 kg * 2.50 m/s^2
= 192.5 N
However, it's important to note that the net force acting on the man is not the same as the normal force on his feet. The normal force is the force exerted by a surface to support the weight of an object resting on it.
In this case, the man is in an elevator accelerating upward, which means there is an additional vertical force acting on him due to the upward acceleration. This force is the difference between the force of gravity and the net force.
The force of gravity is given by:
Force of gravity = mass * acceleration due to gravity
In this case, the acceleration due to gravity is approximately 9.80 m/s^2.
Force of gravity = 77.0 kg * 9.80 m/s^2
= 755.6 N
So, the normal force can be calculated as:
Normal force = Force of gravity - Net force
= 755.6 N - 192.5 N
= 563.1 N
Therefore, the normal force on the man's feet is 563.1 newtons.
To find the normal force on the man's feet, we can use Newton's second law of motion, which states that the net force on an object is equal to the mass of the object multiplied by its acceleration.
First, we need to calculate the force due to acceleration. The force due to acceleration is given by the equation F = m × a, where F is the force, m is the mass, and a is the acceleration.
Given:
Mass (m) = 77.0 kg
Acceleration (a) = 2.50 m/s^2
Force due to acceleration = m × a = 77.0 kg × 2.50 m/s^2 = 192.5 N
Next, we need to calculate the force due to gravity, which is the weight of the man. The force due to gravity is given by the equation F = m × g, where g is the acceleration due to gravity (approximately 9.80 m/s^2).
Force due to gravity = m × g = 77.0 kg × 9.80 m/s^2 = 754.6 N
Finally, we can calculate the net force acting on the man's feet. The normal force, which is the force exerted by a surface to support the weight of an object, is equal in magnitude but opposite in direction to the force due to acceleration. This means that the normal force cancels out the force due to acceleration, resulting in a net force of zero in the vertical direction.
Net force = Force due to gravity - Force due to acceleration
= 754.6 N - 192.5 N
= 562.1 N
Therefore, the normal force on the man's feet is 562.1 N.