Answer:
Charge of the alpha particle
Explanation:
Mass of car, m = 4060 kg
Spring constant, k = 8.00 x 10⁶ N/m
Spring compression, x = 3.72 cm = 3.72 x 10⁻² m
Let the car strike the wall with speed v m/s.
The kinetic energy of the car is released into the stored energy of the spring (if losses are ignored), so that
(1/2)mv² = (1/2)kx²
(4060 kg)*(v m/s)² = (8 x 10⁶ N/m)(3.72 x 10⁻² m)²
4060 v² = 1.1701 x 10⁴
v = 1.6513 m/s
Answer: 1.65 m/s (nearest hundredth)
Answer:
r = 4.21 10⁷ m
Explanation:
Kepler's third law It is an application of Newton's second law where the forces of the gravitational force, obtaining
T² = ( ) r³ (1)
in this case the period of the season is
T₁ = 93 min (60 s / 1 min) = 5580 s
r₁ = 410 + 6370 = 6780 km
r₁ = 6.780 10⁶ m
for the satellite
T₂ = 24 h (3600 s / 1h) = 86 400 s
if we substitute in equation 1
T² = K r³
K = T₁²/r₁³
K =
K = 9.99 10⁻¹⁴ s² / m³
we can replace the satellite values
r³ = T² / K
r³ = 86400² / 9.99 10⁻¹⁴
r = ∛(7.4724 10²²)
r = 4.21 10⁷ m
this distance is from the center of the earth
Answer:
d = 25.51 m
Explanation:
the law of the conservation of energy says that:
where is the inicial energy, is the final energy and is the work of the friction.
so:
=
where M is the mass and V the velocity.
also,
where is the coefficient of kinetic frictio, N is the normal force and d is the distance.
therefore:
also, N is equal to the mass of the hockey puck multiplicated by the gravity.
replacing:
canceling the m:
solving for d:
d = 25.51 m