The gravitational force between two 6.9 kg bowling balls, which are 21.8 cm apart, is approximately 1.99 x 10^-9 Newtons, showing the relative weakness of gravitational forces at an everyday scale.
The gravitational force between two objects can be calculated using Newton's law of universal gravitation. The formula for this force is F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant (6.67 × 10^-11 Nm^2/kg^2), M1 and M2 are the masses of the two objects, and R is the distance between the objects.
In this scenario, each of the bowling balls has a mass of 6.9 kg and their centers are 21.8 cm (or 0.218 m) apart. Substituting these values into the formula, we get the gravitational force to be approximately 1.99 x 10^-9 Newtons. This value is quite small, which is consistent with our intuition that everyday objects like bowling balls don't seem to attract each other noticeably — this is because the gravitational force is extremely weak in comparison to other forces such as electromagnetic forces.
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Answer:
purple
Explanation:
Explanation:
The given figure shows four balls A,B,C and D. Momentum of an object is defined as the product of its mass and velocity.
Momentum of ball A, p₁ = m₁v₁ = 0.7 kg × 15 m/s = 10.5 kg-m/s
Momentum of ball B, p₂ = m₂v₂ = 5.5 kg × 1.2 m/s = 6.6 kg-m/s
Momentum of ball C, p₃ = m₃v₃ = 5 kg × 2.5 m/s = 12.5 kg-m/s
Momentum of ball D, p₄ = m₄v₄ = 1.5 kg × 5 m/s = 7.5 kg-m/s
So, ball C has the greatest amount of momentum and ball B has the least amount of momentum.
Answer:
60
Explanation:
The volume of the water carried will be proportional to the cross-sectional area. The cross-section is a trapezoid with height 10sint, where t represents theta. The top of the trapezoid is 10+(2)(10cost), i.e. 10 + 20cost. The base of the trapezoid is 10.
Area of trapezoid = (average of bases) times (height)
= ([10 + (10 +20cost)] / 2 ) 10 sint
= (10 + 10cost)(10sint)
= 100sint + 100sintcost, call this A(t). You need to maximize. So differentiate and set equal to zero.
dA/dt = -100sin(t)^2+100cos(t)+100cos(t)^2 = 0, divide by 100:
-sin(t)^2 + cos(t) + cos(t)^2 = 0, replace sin^2 by 1-cos^2
2cos(t)^2 + cos(t) - 1 = 0, factor
(1+cos(t))(2cos(t)-1)=0, so
cos(t)=1, t=0 that give a min (zero area) not a max, or
cos(t) = 1/2, so t=60 degrees. This gives the max.
Answer: 3MW
Explanation:
W = 1/2 mv^2
W = 0.5 x 1200 x 25^2 = 375 kW
T = 8s
P= 335 x 10^3 x 8 = 3,000 kW = 3MW