Answer:
a. 1.64 m/s²
Explanation:
Centripetal acceleration is the square of tangential velocity divided by the radius.
a = v²/r
First, convert km/h to m/s.
30.0 km/h (1000 m/km) (1 h / 3600 s) = 8.33 m/s
Find the acceleration.
a = (8.33 m/s)² / (42.4 m)
a = 1.64 m/s²
<u><em>heyaaaaa</em></u>
<u><em>Momentum before Pb = momentum after Pa</em></u>
Pb = 75*6 - 100*8 = -350kgm/s = Pa = (75+100)V where V is the velocity of the combined mass of the two players after the collision.
<u><em>Velocity has magnitude (speed) and direction. V = -350/175 = -2m/s </em></u>
So the two players are moving at 2m/s in the direction the 100kg player was moving before the collision.
<em><u>I arbitrarily chose the direction of the smaller player as positive so the opposite direction (of the larger player) had to be negative. </u></em>
hope it helpssss!!!!!!
The statement is false. Vectors are used to solve projectile motion problems because they allow the analysis of one direction at a time for two-dimensional motion. Scalar quantities can be used to analyze linear motion problem, but not projectile motion.
The recoil velocity of the astronaut is -0.070 m/s
Explanation:
We can solve this problem by using the principle of conservation of momentum: in fact, in absence of external forces, the total momentum of the astronaut-wrench system must be conserved.
At the beginning, their total momentum is zero:
(1)
Later, after the astronaut throws the wrench, the total momentum is
(2)
where
m = 0.725 kg is the mass of the wrench
v = 13.8 m/s is the velocity of the wrench
M = 143 kg is the mass of the astronaut
V is the recoil velocity of the astronaut
Since momentum is conserved, (1) = (2), and so we can find V:

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Because upward buoyant force is slightly higher than gravitation force for this particular object