A block moves upon on plane inclined at an angle of 45" to the constant speed due to a force of 15N acting in the parallel dires Then the weight of the body when it moving along the plane of coefficient of friction is 0.5
To find the weight of the body when it is moving along the inclined plane with a coefficient of friction of 0.5, we can use the following steps:
1. Determine the normal force: The weight of the body is equal to the force of gravity acting on it. The force of gravity can be calculated using the equation Fg = m * g, where m is the mass of the body and g is the acceleration due to gravity (approximately 9.8 m/s²). However, since the body is on an inclined plane, the normal force (Fn) acting perpendicular to the plane will be less than the weight. The normal force can be calculated using the equation Fn = mg * cos(θ), where θ is the angle of inclination in radians (45 degrees in this case).
2. Calculate the frictional force: The force of friction (Ff) opposes the motion of the body and can be calculated using the equation Ff = μ * Fn, where μ is the coefficient of friction (0.5 in this case).
3. Determine the net force acting on the body: The net force (Fnet) can be calculated by subtracting the force of friction from the applied force (15 N in this case). Fnet = Fapplied - Ff.
4. Use the net force to find the mass: Since the body is moving at a constant speed, the net force must be zero according to Newton's first law. Thus, we equate Fnet to zero and solve for the mass (m). Fnet = 0 = Fapplied - Ff = Fapplied - μ * Fn. Then, we can solve for m by rearranging the equation to: m = (Fapplied - μ * Fn) / g.
5. Calculate the weight: Once you have determined the mass of the body, you can calculate the weight using the equation Fg = m * g.
By following these steps, you can find the weight of the body when it is moving along the inclined plane with a coefficient of friction of 0.5.