A cart being pulled by a 10 year old Boy with a force that is parallel to the surface. if the surface is inclined at 50° and the cart is 250kg while the surface has a coefficient of friction of 0.22 find the Normal force, Force of Friction and Force exerted by the boy
Wt. of Cart=m*g = 250kg * 9.8N/kg=2450 N
Fp = 2450*sin50 = 1877 N. = Force
Parallel to the incline.
Fn = 2450*cos50 = 1575 N. = Normal force
Fk = u*Fn = 0.22 * 1575 = 346.5 N. =
Force of kinetic friction.
Fe-Fp-Fk = m*a
Fe-1877-346.5 = m*0 = 0
Fe-2223 = 0
Fe = 2223 N. = Force exerted by the boy.
To find the Normal force, Force of Friction, and Force exerted by the boy, we can break down the problem into different components.
First, let's calculate the Normal force acting on the cart. The Normal force is the force exerted by the inclined surface perpendicular to it. In this case, it opposes the weight of the cart. The weight force can be calculated using the equation:
Weight = mass * gravitational acceleration
Given that the mass of the cart is 250kg, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate:
Weight = 250 kg * 9.8 m/s^2 = 2450 N
Since the inclined surface opposes the weight force, the Normal force is equal in magnitude but opposite in direction:
Normal force = -2450 N
Next, let's calculate the Force of Friction. The Force of Friction can be determined using the equation:
Force of Friction = coefficient of friction * Normal force
Given that the coefficient of friction is 0.22 and the Normal force is -2450 N, we can calculate:
Force of Friction = 0.22 * (-2450 N) = -539 N
Finally, let's calculate the Force exerted by the boy. Since the boy is pulling the cart parallel to the surface, we need to calculate the component of the boy's force parallel to the surface. This can be determined by multiplying the force exerted by the boy by the cosine of the angle between the force and the surface.
Since the angle of inclination is 50°, we have:
Force exerted by the boy = Force * cos(angle)
However, we still need to find the value of the Force exerted by the boy. To do this, we need additional information, such as the acceleration of the cart or the net force acting on it.
Please provide the additional information needed to calculate the Force exerted by the boy, and I will be happy to assist you further.