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In this lesson, we will learn how to calculate the weight of an object given its mass and its distance from an astronomical body.
A body of mass
kg was weighed,
using a spring scale, at the north pole and at the equator. Assuming
at the north pole and
m/s2 at the equator,
what was the difference in the two readings?
The force exerted by the Moon’s gravity at its surface is six times
smaller than the force exerted by the Earth’s gravity at its surface.
The weight of an astronaut plus his space suit on the Moon is
How much does the suited astronaut weigh on Earth?
What is the mass of the suited astronaut on the Moon?
What is the mass of the suited astronaut on Earth?
Astronauts in orbit are apparently weightless. This
means that a clever method of measuring the mass of
astronauts is needed to monitor their mass gains or losses,
and adjust their diet. One way to do this is to exert a
known force on an astronaut and measure the acceleration
produced. Suppose a net external force of 50.0 N is exerted,
and an astronaut’s acceleration is measured to be
0.893 m/s2. Calculate her mass.
The mass of a particle is 15.0 kg.
What is its weight on Earth?
On the Moon, the acceleration produced by gravity is 1.63 m/s2.
What is its weight of the particle on the Moon?
What is its mass on the Moon?
What is its weight in outer space far from any celestial body?
What is its mass at this point?
A service elevator carries a load of garbage with a mass of 24.4 kg. the elevator accelerates vertically downward at 1.8 m/s2. What is the magnitude of the force the garbage exerts on the floor of the elevator?
A ball with a mass of 0.25 kg is thrown
vertically upward toward a gym ceiling. As it comes into contact with the
ceiling, a force of 78.0 N is applied to it for 0.02 s, causing it to
rebound downward. Which of the following is true as the ball is falling to the
When landing after a spectacular somersault, a
45.0 kg gymnast decelerates by
pushing straight down on the mat. Calculate the force she must exert if her deceleration is
6.00 times the acceleration due to
Calculate the force a 70.0 kg
must exert on the ground to produce an upward acceleration 4.00 times the
acceleration due to gravity.
A uniformly cylindrical tube that is open at both ends has a diameter of
16 cm. Two spheres are at rest
inside the tube, as shown in the accompanying diagram. The diameters of the spheres are
8 cm and
12 cm respectively and the
spheres weigh 10 N and
30 N respectively. Calculate the
minimum weight of the tube for the system of the tube and spheres to be in equilibrium.