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 com
To find the weight of the body when it is moving along the inclined plane, we need to consider the forces acting on the body.
The weight of an object is given by the formula:
Weight = mass × acceleration due to gravity
In this case, since the body is moving at a constant speed, there must be a force counteracting the force of gravity. This force is provided by the applied force of 15N acting parallel to the inclined plane.
To determine the weight, we need to resolve the force of gravity into two components: one parallel to the inclined plane and one perpendicular to it.
The component of the weight parallel to the inclined plane is given by:
Force_parallel = Weight × sin(θ)
where θ is the angle of inclination (45°) in this case.
Since the body is moving at a constant speed, the applied force must be equal to the force of friction. The force of friction can be calculated using the equation:
Force_friction = μ × Force_normal
where μ is the coefficient of friction and Force_normal is the component of the weight perpendicular to the inclined plane.
In this case, the body is moving up the inclined plane, so the force of friction is acting in the opposite direction to the applied force. Therefore, we have:
Force_friction = -15N
Since the body is moving with constant speed, the net force acting along the inclined plane must be zero:
Net_force = Force_parallel - Force_friction = 0
Substituting the values:
Weight × sin(θ) - (-15N) = 0
Weight × sin(45°) + 15N = 0
Weight × 0.707 + 15N = 0
Weight × 0.707 = -15N
Weight = -15N / 0.707
Weight ≈ -21.21N
So, the weight of the body when it is moving along the inclined plane is approximately -21.21N. Note that the negative sign indicates that the weight is opposed to the direction of motion.