Find the weight of a 54-kg student in $(a)$ newtons, and $(b)$ pounds.

On the moon, the acceleration due to the effect of gravity is only about $1 / 6$ of that on Earth. An astronaut whose weight on Earth is $600 \mathrm{~N}$ travels to the lunar surface. His mass, as measured on the moon, will be $(a) 600 \mathrm{~kg}$, (b) $100 \mathrm{~kg}$, $(c) 61.2 \mathrm{~kg}$, $(d) 9.81 \mathrm{~kg}$, (e) $360 \mathrm{~kg}$.

A $4.0-\mathrm{kg}$ object is subjected to two constant forces, $\vec{F}_1=(2.0 \mathrm{~N}) \hat{i}+(-3.0 \mathrm{~N}) \hat{j}$ and $\vec{F}_2=(4.0 \mathrm{~N}) \hat{i}-(11 \mathrm{~N}) \hat{j}$. The object is at rest at the origin at time $t=0$.

$(c)$ Where is the object at time $t=3.0 \mathrm{~s}$ ?

A $4.0-\mathrm{kg}$ object is subjected to two constant forces, $\vec{F}_1=(2.0 \mathrm{~N}) \hat{i}+(-3.0 \mathrm{~N}) \hat{j}$ and $\vec{F}_2=(4.0 \mathrm{~N}) \hat{i}-(11 \mathrm{~N}) \hat{j}$. The object is at rest at the origin at time $t=0$.

$(b)$ What is its velocity at time $t=3.0 \mathrm{~s}$ ?

A $4.0-\mathrm{kg}$ object is subjected to two constant forces, $\vec{F}_1=(2.0 \mathrm{~N}) \hat{i}+(-3.0 \mathrm{~N}) \hat{j}$ and $\vec{F}_2=(4.0 \mathrm{~N}) \hat{i}-(11 \mathrm{~N}) \hat{j}$. The object is at rest at the origin at time $t=0$.

$(a)$ What is the object's acceleration?

Why is the War of 1812 often called the Second War of Independence?

To drag a 75-kg log along the ground at constant velocity, you have to pull on it with a horizontal force of $250 \mathrm{~N}$. (a) What is the resistive force exerted by the ground? (b) What horizontal force must you exert if you want to give the log an acceleration of $2 \mathrm{~m} / \mathrm{s}^2$ ?

To drag a 75.0-kg log along the ground at constant velocity, your tractor has to pull it with a horizontal force of $250 \mathrm{~N}$.

$(d)$ What horizontal force must you exert if you want to give the log an acceleration of $2.00 \mathrm{~m} / \mathrm{s}^2$ assuming the force of friction does not change. Redraw the log's free-body diagram for this situation.

To drag a 75.0-kg log along the ground at constant velocity, your tractor has to pull it with a horizontal force of $250 \mathrm{~N}$.

$(c)$ What is the normal force of the ground on the log?

To drag a 75.0-kg log along the ground at constant velocity, your tractor has to pull it with a horizontal force of $250 \mathrm{~N}$.

$(b)$ Use Newton's laws to determine the force of friction on the log.

To drag a 75.0-kg log along the ground at constant velocity, your tractor has to pull it with a horizontal force of $250 \mathrm{~N}$.

$(a)$ Draw the free-body diagram of the log.

If only a single nonzero force acts on an object, does the object accelerate relative to all inertial reference frames? Is it possible for such an object to have zero velocity in some inertial reference frame and not in another? If so, give a specific example.

If you push a block whose mass is $m_1$ across a frictionless floor with a horizontal force of a magnitude $F_0$, the block has an acceleration of $12 \mathrm{~m} / \mathrm{s}^2$. If you push on a different block whose mass is $m_2$ with a horizontal force of magnitude $F_0$, its acceleration is $3.0 \mathrm{~m} / \mathrm{s}^2$.

$(b)$ What acceleration will a horizontal force of magnitude $F_0$ give to a single block with mass $m_2+m_1$ ?

A cross-country course is in the shape of a parallelogram with a base of length 3 mi and a side of length 2 mi. What is the total length of the cross-country course.