Answer:
The volume of the coin is 4.236 x 10⁻⁷ m³
Explanation:
Given;
radius of a coin, r = 1.06 cm = 0.0106 m
thickness of the coin, h = 1.2 mm = 0.0012 m
The volume of the coin is given by;
volume = Area x thickness
Area of the coin = πr² = π (0.0106)² = 3.5304 x 10⁻⁴ m²
The volume of the coin = (3.5304 x 10⁻⁴ m²) x (0.0012 m)
The volume of the coin = 4.236 x 10⁻⁷ m³
Therefore, the volume of the coin is 4.236 x 10⁻⁷ m³
Answer:
B: 1530 N
Explanation:
We know ghat formula for force of gravity is;
F_grav = G•m1•m2/d²
We are told that two clay masses produce a gravitational force of 340N.
Thus;
G•m1•m2/d² = 340
Now, if the distance is divided by 3 and the mass of one is divided by 2, we have;
F_g = (G × m1/2 × m2)/(d/3)²
Thus gives;
F_g = ½(G•m1•m2)/((1/9)d²)
Simplifying this gives;
F_g = (9/2)G•m1•m2/d²
From earlier, we saw that;
G•m1•m2/d² = 340
Thus;
F_g = (9/2) × 340
F_g = 1530 N
Answer:
The time taken is 6.7 min
Explanation:
Using the linear momentum conservation theorem, we have:

when she was 60.4m from the shuttle, she has zero speed, so the initial velocity is zero.

That is 0.15m/s in the opposite direction of the camera.
the time taken to get to the shuttle is given by:

Answer:
2.353 × 10⁵ years
Explanation:
Since speed, v = distance/time
time, t = distance/speed
The distance, d = circumference of orbit = 2πr where r = radius of orbit = 8.5 kiloparsecs = 8.5 kiloparsecs × 3.1 × 10¹³ kilometers/parsec = 26.35 × 10¹³ kilometers and velocity of sun, v = 220 km/s
So, the time it takes to complete one orbit, T is
T = 2πr/v
= 2π × 26.35 × 10¹³ km/220 km/s
= 165.562 × 10¹³ km ÷ 220 km/s
= 0.753 × 10¹³ s
= 7.53 × 10¹² s
We now convert T to years
T = 7.53 × 10¹² s ÷ 3.2 × 10⁷ seconds/year
T = 2.353 × 10⁵ years
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