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H ng d n Gi i bài t p V t lý 10: Bài toán v chuy n đ ng ném ngangướ ẫ ả ậ ậ ề ể ộ
(SGK trang 88)
Bài 1 (trang 88 SGK V t Lý 10): Đ kh o sát chuy n đ ng ném ngang, ta ch n hậ ể ả ể ộ ọ ệ
t a đ Đ - các nh th nào là thích h p nh t? N u cách phân tích chuy n đ ngọ ộ ề ư ế ợ ấ ế ể ộ
ném ngang thành hai chuy n đ ng thành ph n theo hai tr c c a h t a đ đó.ể ộ ầ ụ ủ ệ ọ ộ
L i gi i:ờ ả
Đ kh o sát chuy n đ ng ném ngang, ta ch n h t a đ Đ - các: g m 2 tr c, tr c Ox ể ả ể ộ ọ ệ ọ ộ ề ồ ụ ụ
n m ngang h ng theo vecto v0 ban đ u. Tr c Oy th ng đ ng chi u t trên xu ng, ằ ướ ầ ụ ẳ ứ ế ừ ố
g c t a đ O trùng v trí ném.ố ọ ộ ị
G i Mx và My là hình chi u c a chuy n đ ng M lên hai tr c Ox và Oy kh o sát chuy nọ ế ủ ể ộ ụ ả ể
đ ng c a Mx và My và t ng h p l i đ c chuy n đ ng c a M.ộ ủ ổ ợ ạ ượ ể ộ ủ
Bài 2 (trang 88 SGK V t Lý 10): Vi t các ch ng trình c a hai chuy n đ ng ậ ế ươ ủ ể ộ
thành ph n c a chuy n đ ng ném ngang và cho bi t tính ch t c a m i chuy n ầ ủ ể ộ ế ấ ủ ỗ ể
đ ng thành ph n.ộ ầ
L i gi i:ờ ả
Chuy n đ ng thành ph n theo tr c Ox là chuy n đ ng th ng đ u v i các ph ng trình:ể ộ ầ ụ ể ộ ẳ ề ớ ươ
ax = 0
vx = vo
x = vot
Chuy n đ ng thành ph n theo tr c Oy là chuy n đ ng r i t do v i các ph ng trình:ể ộ ầ ụ ể ộ ơ ự ớ ươ
Qũy đ o c a chuy n đ ng ném ngang:ạ ủ ể ộ
Ph ng trình qu đ o:ươ ỹ ạ
Bài 3 (trang 88 SGK V t Lý 10): L p ph ng trình qu đ o c a chuy n đ ng ậ ậ ươ ỹ ạ ủ ể ộ
ném ngang, các công th c tính th i gian chuy n đ ng và t m ném xa.ứ ờ ể ộ ầ
L i gi i:ờ ả
Theo tr c Ox, t a đ c a Mx là:ụ ọ ộ ủ
x = vot
Suy ra đây cũng chính là hoành đ c a đi m M chuy n đ ng ném ngang.ộ ủ ể ể ộ
(1)
T i th i đi m t, M có tung đ (t a đ c a Mạ ờ ể ộ ọ ộ ủ y)
(2)
Th (1) vào (2)ế
⇒ hay
Bài 4 (trang 88 SGK V t Lý 10): Bi A có kh i l ng l n g p đôi bi B. Cùng m t ậ ố ượ ớ ấ ộ
lúc t i mái nhà, bi A đ c th r i còn bi B đ c ném theo ph ng ngang. B ạ ượ ả ơ ượ ươ ỏ
qua s c c n c a không khí.ứ ả ủ
Hãy cho bi t câu nào d i đây là câu đúng?ế ướ
A. A ch m đ t tr cạ ấ ướ