Answer:
3.67 rad/s
Explanation:
L = Length of meter stick = 1 m
r = Distance at which the bullet will hit the stick =
m = Mass of bullet = 3 g
M = Mass of stick = 270 g
= Velocity of bullet = 250 m/s
= Velocity of bullet leaving = 140 m/s
Initial angular momentum
Final angular momentum of the system
Since, angular momentum is conserved we have
The angular speed is the stick spinning after the collision is 3.67 rad/s
<span>We know that v = u + at
He stops when the speed is zero; therefore
0 = 15 - 3.35 t
t = 4.48
It takes 4.48 seconds after the driver turns on the brake for him to stop.
We know
s = ut + (1/2)at</span>²<span>
s = 15*4.48 - *(1/2)(3.25)(4.48)</span>²<span>
s = 33.4 meters
The distance he travels before applying the brakes is:
s = 0.21 * 15
s = 3.15 m
The total distance he travels is:
3.15 + </span>33.4 = 36.55 meters
He will be able to stop in time.
Mass of the Earth = 5.972 x 10²⁴ kg
Mass of the asteroid = 1 x 10⁹ kg
Separation distance = 3 x 10⁶ m (between the Earth's center and the asteroid's center)
Gravitational force between two masses =
(6.67 x 10⁻¹¹ nt-m²/kg²) · m₁ · m₂ / (distance)²
= (6.67 x 10⁻¹¹ nt-m²/kg²) · (5.972 x 10²⁴ kg) · (1 x 10⁹ kg) / (3 x 10⁶ m)²
= (6.67 · 5.972 / 9) x 10¹⁰ · (nt · m² · kg · kg / kg² · m²)
= 13.28 x 10¹⁰ newtons
= 132.8 Giga-newtons .
(about 14,926,763 tons)
Answer: 1 cal is 4.186 J, 1 kcal = 4186 J A : 1014 m , B 200 m
Explanation: A) Work done by climber is change in potential energy.
W = ΔEp = mgh = 67.0 kg· 9.81 m/s²· h = 160 kcal · 4186 J / kcal.
Solve h = 160 kcal · 4186 J / kcal /67.0 kg· 9.81 m/s² = 1014 m
B Energy is only 20 % : Then h = 0.20 ·160 kcal · 4186 J / kcal /67.0 kg· 9.81 m/s² = 200 m.
Actually, muscles also produce heat from most of the energy provided by food.
We know
<h3>☆Mass on moon =1/6 on earth</h3>