In: Physics
1.A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum linear speed can the mass have if the string is not to break?
A.370 m/s
B.22 m/s
C.19 m/s
D.29 m/s
2.A point on the rim of a 0.25-m-radius rotating wheel has a centripetal acceleration of 4.0 m/s2. What is the angular speed of the wheel?
A.1.0 rad/s
B.2.0 rad/s
C.3.2 rad/s
D.4.0 rad/s
3. An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius of the planet is 6.0 × 106 m. What is the mass of Planet X? (G = 6.67 × 10−11 N ⋅ m2/kg2)
A.1.80E+18 kg
B.5.40E+24 kg
C.2.16E+25 kg
D.1.80E+18 kg
4.The escape speed from the surface of the Earth is 11.2 km/s. Estimate the escape speed for a spacecraft from the surface of the Moon. The Moon has a mass 1/81 that of Earth and a radius 0.25 that of Earth.
A.2.5 km/s
B.4.0 km/s
C.5.6 km/s
D.8.7 km/s