n= moles of an argon gas are at a temperature of K. Calculate the kinetic energy per molecule. The Boltzmann’s constant is kB = 1.38 ×10-23 J/K. The argon gas consists of monatomic molecules. Express your answer in zJ (zepto-joule). 1 zJ = 10-21 J.
Suppose [Q]×105 J of energy are transferred to [m] kg of ice…
Suppose ×105 J of energy are transferred to kg of ice at 0 oC. The heat of fusion of water is Lf = 3.33 × 105 J/kg. How much energy remains to raise the temperature of the liquid water? Express your answer in kJ. 1 kJ = 103 J.
A [m]-g object is attached to a spring and executes simple h…
A -g object is attached to a spring and executes simple harmonic motion with a period of s.If the total energy of the system is J, find the force constant of the spring. Express your answer in N/m. 1 g = 10-3 kg.
Suppose [Q]×105 J of energy are transferred to [m] kg of ice…
Suppose ×105 J of energy are transferred to kg of ice at 0 oC. The heat of fusion of water is Lf = 3.33 × 105 J/kg. Calculate the energy required to melt all the ice into liquid water. Express your answer in kJ. 1 kJ = 103 J.
A 75-kg man is standing in a 22-kg boat. The man steps to th…
A 75-kg man is standing in a 22-kg boat. The man steps to the right thinking he is stepping out onto the dock. However, the following will actually happen (ignore the friction of the water or air on the boat or the man):
A small mailbag is released from a helicopter that is descen…
A small mailbag is released from a helicopter that is descending steadily at m/s. After s, what is the speed of the mailbag? Express your answer in m/s.
A cheetah can run at approximately 100 km/h and a gazelle at…
A cheetah can run at approximately 100 km/h and a gazelle at 80.0 km/h. If both animals are running at full speed, with the gazelle 50.0 m ahead, how long before the cheetah catches its prey?
A projectile is launched with an initial speed of [v0] m/s a…
A projectile is launched with an initial speed of m/s at an angle of ° above the horizontal. The projectile lands on a hillside s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) What is the angle of the projectile’s velocity at the highest point of its trajectory, relative to the horizontal (the +x-axis)?
A ball is thrown vertically upwards at 19.0 m/s. For its com…
A ball is thrown vertically upwards at 19.0 m/s. For its complete trip (up and back down to the starting position), its average velocity is:
The range of the inverse cosecant function, , is:
The range of the inverse cosecant function, , is: