An 85 kg object is moving at a constant speed of 15 m/s in a circular path, which has a radius of 20 meters. what centripetal force is exerted on the body? a. 42.50 n b. 63.75 n c. 956.25 n d. 765.00 n

Centripetal force needed to move mass 'm' in a circle with radius 'r' at speed 'v' is

F = m · v² / r

F = (85 kg) ·(15 m/s)² / (20 m)

F = (85kg · 225m²) / (20 m·s²)

F = (85 · 225 / 20)  (kg·m² / m·s²)

F = 956.25  kg·m/s²

F = 956.25 Newtons

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards