First examine the problem by drawing a picture and visualizing the motion. Apply Newton's 2nd law, F=ma, to each body in your mind. Don't worry about which quantities are given. Think about the forces on each body: How are these consistent with the direction of the acceleration for that body? Can you think of any special cases that you can solve quickly now and use to test your understanding later? One special case in this problem is if m2 = 0, in which case block 1 would simply fall freely under the acceleration of gravity: a₁ = -gj

A snow-covered ski slope makes an angle of 0slone = 30.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.60 m at 0, = 18.0° from the vertical in the uphill snow direction as shown in the figure below. snow Oglope (a) Find the component of its maximum displacement parallel to the surface. m (b) Find the component of its maximum displacement perpendicular to the surface.

Two position vectors each start at the origin. The first has a magnitude of 40.5 cm, and is at an angle of 15.0° as measured counterclockwise from the +x-axis. The second has a magnitude of 23.0 cm and an angle of 68.0°, also counterclockwise from the +x-axis. (a) What is the area of the parallelogram (in cm2) that has the two vectors as two of its sides? cm2 (b) What is the length of the longer diagonal of this parallelogram (in cm)? cm

An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant speed of 5 m/s. (a) Express the motion of the object as a vector that depends on time, i.e. find F(t).

These are the component forms of vectors u and w: ū u = (-4,-3) w = (–1,5) Add the vectors. u+w=

Consider the three vectors A= 4.2i+3.9j+6.5k, B=-9.1i+1.3j+6.4K, and C=8.8i-2.9j+3.2k. (A) what is the x component of the vector sum V= A+B+C? (B) what is the y component of the vector sum V=A+B+C? (C) what is the s component of the vector sum V=A+B+C? (D) what is the length of the sum of the given vectors, |V|?

For vectors A= -3i + 7j - 8k and B = - 4i - 7j + 10k, find the scalar component of B along  A