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pickupchik [31]
3 years ago
12

what is the approximate weight of a 20-kg cannonball on the moon if the acceleration due to gravity is 1.6m/s^2

Physics
1 answer:
monitta3 years ago
5 0
On Earth, a cannonball with a mass of 20 kg would weigh 196 Newtons.
With the formula F=mg, where F is the weight in Newtons, m is the mass, and g is the acceleration due to gravity on the Earth which is 9.8m/s^2.
F=20kg x 9.8m/s^2= 196 Newtons

BUT on the moon, acceleration due to gravity is 1.6 m/s^2,
so F=mg=20kgx1.6m/s^2= 32 N
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Given:

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First, find the time it takes for the ball to be caught.

y = y₀ + v₀ᵧ t + ½ aᵧt²

1 = 1 + 18 sin 52° t + ½ (-9.8) t²

0 = 14.2 t − 4.9 t²

0 = t (14.2 − 4.9 t)

t = 0 or 2.89

It takes 2.89 seconds to be caught.  The horizontal distance traveled in that time is:

x = x₀ + v₀ₓ t + ½ aₓt²

x = 0 + (18 cos 52°) (2.89) + ½ (0) (2.89)²

x = 32.1

Rounded to two significant figures, the ball travels 32 meters.

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