A dart with a mass of 0.5kg is thrown at 15m/s and sticks into a 1kg apple hanging on a string. What is the velocity of the dart and apple just after the dart is embedded?

5m/s

Explanation:

From momentum conservation:

Momentum =mass × veloclty

Momentum before collision = momentum after collision

Given that mass of dart = 0.5kg, mass of apple = 1kg, velocity of dart = 1.5m/s, velocity of apple = 0m/s

(0.5×1.5)- (1×0) = ( 0.5+1)v

7.5-0 = 1.5v

7.5 = 1.5v

V = 7.5/1.5

V = 5m/s.

velocity of the dart and apple just after the dart is embedded is 5m/s

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.